The problem can be translated into an equation that is something like 4/5 + 3/x = 1/2 we cannot have x equal to zero because the number can be infinite. So the LCD here is 10x, so multiply both sides by that to get: 8x + 30 = 5x Subtract 5x and 30 from both sides: 3x = -30 divide: x = -10 The solution isn't zero so there is a solution.